Which object has the greatest final velocity?

AI Thread Summary
In the discussion about which object has the greatest final velocity, it is established that all objects have the same mass, shape, and initial conditions. Object A, dropped straight down, is compared to Object B, which slides down an angled ramp, and Object C, which follows a curved ramp. The absence of friction and equal initial velocities and heights are key factors in determining their final velocities. The Brachistochrone problem is referenced, suggesting that the curved path may lead to the fastest descent. Ultimately, the discussion centers on the relationship between path shape and final velocity in a frictionless environment.
jennyerickson
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Every object has the same mass and shape etc.
Object a is dropped from the side of the ramp straight down
Object b slides down an angled ramp
Object c slides down a ramp that is curved


Facts
No friction
All objects sliding
All initial velocities are equal
All Intial positions are the same height

Which object has the greatest final velocity?
Which has the smallest time interval until hitting ground level?
Which has the greatest acceleration?
 
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welcome to pf!

hi jenny! welcome to pf! :wink:

tell us what you think (with reasons), and then we'll comment :smile:
 


Look up Brachistochrone
 

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